## Match Inequalities to Graphs

## Opening

# Match Inequalities to Graphs

- Match each inequality to a number line.
- Write the inequality in words in the space provided; for example, "
*x*is less than 5."

INTERACTIVE: Match Inequalities to Graphs

- Match each inequality to a number line.
- Write the inequality in words in the space provided; for example, "
*x*is less than 5."

INTERACTIVE: Match Inequalities to Graphs

Represent inequalities on a number line and find at least one value that makes the inequality true.

For each inequality do the following.

- Represent the inequality on a number line using the number line interactive.
- Write one value that makes the inequality true.
- Write the inequality using words.
*x*≥ –2*x*< 4- 12 ≥
*x* *x*≤ −3.5*x*< 1.5

INTERACTIVE: Inequalities and Number Lines

- Where is the number located on the number line?
- Should the starting point be a closed circle or an open circle?
- What is one value that makes the inequality true? Is that value shaded on the number line?

- Write about a real-world situation that could be represented by this number line.

Think about situations involving age, money, or weight.

- Explain how you represented an inequality on a number line.
- Support your explanation with your work.

Denzel says that because 2<5, that means −2<−5.

- Do you agree? Explain why or why not.

Take notes about your classmates’ representations of inequalities on a number line.

As your classmates present, ask questions such as:

- Why is the circle filled in?
- Why is the circle open?
- Why does the line go in that direction?
- Explain why –4 is less than –3.5.
- What is the greatest number that x could be?

**Read and Discuss**

An inequality is a relationship that holds between two values that are different.

*a*<*b*means that*a*is less than*b*(or, equivalently, that*b*is greater than*a*).*a*>*b*means that*a*is greater than*b*(or, equivalently, that*b*is less than*a*).*a*≤*b*means that*a*is less than or equal to*b*(or, equivalently, that*b*is greater than or equal to*a*).*a*≥*b*means that*a*is greater than or equal to*b*(or, equivalently, that*b*is less than or equal to*a*).

Can you:

- Explain the meaning of each inequality symbol?
- Show how each type of inequality is represented on a number line?

Complete this Self Check by yourself.

For each equation do the following.

- Solve the equation. Name the property of equality you use and show each step.
- Write and solve a word problem that each equation could represent.

*x*+ 5 = 17- 4
*x*= 22 - $\frac{x}{6}=\frac{5}{8}$

Write a reflection about the ideas discussed in class today. Use the sentence starter below if you find it to be helpful.

**One place outside of the classroom where I have seen inequalities is …**